Free Printable Complex numbers

1.

I ) If z=ib is called imaginary number

II) If z=a and b=0 is called pure real number

a)

I is true

b)

II is true

c)

Both I and II are true

d)

Both are false

2.

The absolute value of $\alpha+\iota\beta$

a)

$\sqrt[]{\alpha^2-\beta^2}$

b)

$\sqrt[]{\alpha^2+\beta^2}$

c)

$\alpha^2+\beta^2$

d)

$\alpha^2-\beta^2$

3.

(3+2i)(2-i)=

a)

8+i

b)

8-i

c)

4+i

d)

4-i

4.

Argument of (1+i)/(1-i) is

a)

$\pi$ /4

b)

$\pi$ /2

c)

$-\pi$ /4

d)

$-\pi$ /2

5.

Euler's form of e^i $\theta$

a)

cos $\theta$ + isin $\theta$

b)

cos $\theta$ - isin $\theta$

c)

cos $\phi$ -isin $\phi$

d)

cos $\theta$ +isin $\phi$

6.

Find two numbers whose sum is 4 and whose product is 8.

a)

-2-2i, 4+2i

b)

-2+2i, 4+4i

c)

2-2i, 2-2i

d)

2+2i, 2-2i

7.

Cos(iz)=

a)

icosz

b)

icoshz

c)

Coshz

d)

(1/i)coshz

8.

Log(xi)=

a)

logx+i $\frac{\pi}{2}$

b)

logx+ $\frac{\pi}{2}$

c)

logx+i $\pi$

d)

logx-i $\pi$

9.

|e^z|=

a)

e^(x+iy)

b)

e^|z|

c)

e^x

d)

e^iy

10.

If e^3z=1 then

a)

z=i $\pi$

b)

z=i $\frac{\pi}{2}$

c)

z=i( $2\pi$ )/3

d)

z=i(3 $\pi$ )/2

Complex numbers

Total questions: 10

Worksheet time: 10mins

Similar Resources on Wayground